Caffarelli-Kohn-Nirenberg type equations of fourth order with the critical exponent and Rellich potential
DOI10.1016/j.jmaa.2015.07.042zbMath1326.35118arXiv1403.1646OpenAlexW1523591092MaRDI QIDQ497783
Publication date: 25 September 2015
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1403.1646
nonexistence of positive solutionsPohozaev identitycontractible domainCaffarelli-Kohn-Nirenberg type equationsnontrivial topologyPalais-Smale decomposition
Critical exponents in context of PDEs (35B33) Variational methods for higher-order elliptic equations (35J35) Positive solutions to PDEs (35B09)
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Cites Work
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- Entire solutions for a class of variational problems involving the biharmonic operator and Rellich potentials
- On Caffarelli-Kohn-Nirenberg-type inequalities for the weighted biharmonic operator in cones
- Semilinear biharmonic problems with a singular term
- A global compactness result for elliptic boundary value problems involving limiting nonlinearities
- The concentration-compactness principle in the calculus of variations. The limit case. II
- Ground state solutions of a critical problem involving cylindrical weights
- Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains
- Radial and non radial solutions for Hardy-Hénon type elliptic systems
- Hardy-Sobolev-Maz'ya type equations in bounded domains
- The proof of the Lane-Emden conjecture in four space dimensions
- Existence and multiplicity of nontrivial solutions in semilinear critical problems of fourth order
- On positive entire solutions to a class of equations with a singular coefficient and critical exponent
- On the Hénon-Lane-Emden conjecture
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- The best sobolev constant
- $L^2$-Integrability of Second Order Derivatives for Poisson's Equation in Nonsmooth Domains.
- Nonlinear Schrödinger equations with Hardy potential and critical nonlinearities
- Existence of positive solutions for a semilinear elliptic problem with critical Sobolev and Hardy terms
- HARDY–SOBOLEV–MAZ'YA INEQUALITIES: SYMMETRY AND BREAKING SYMMETRY OF EXTREMAL FUNCTIONS
- Existence of solutions for singular critical growth semilinear elliptic equations
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